De la cruz, Richard; Juajibioy, Juan Delta shock solution for a generalized zero-pressure gas dynamics system with linear damping. (English) Zbl 1482.35133 Acta Appl. Math. 177, Paper No. 1, 25 p. (2022). MSC: 35L67 35L45 35L60 35L65 35F50 PDF BibTeX XML Cite \textit{R. De la cruz} and \textit{J. Juajibioy}, Acta Appl. Math. 177, Paper No. 1, 25 p. (2022; Zbl 1482.35133) Full Text: DOI OpenURL
Zhang, Yanyan; Zhang, Yu Interactions of delta shock waves for a class of nonstrictly hyperbolic system of conservation laws. (English) Zbl 1478.35149 J. Appl. Anal. Comput. 10, No. 6, 2381-2399 (2020). MSC: 35L65 35L67 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y. Zhang}, J. Appl. Anal. Comput. 10, No. 6, 2381--2399 (2020; Zbl 1478.35149) Full Text: DOI OpenURL
Santos, Marcelo M. Reduction of generalized Young measures. (English) Zbl 1378.35196 J. Hyperbolic Differ. Equ. 14, No. 2, 349-358 (2017). MSC: 35L65 35L60 46E27 28A33 PDF BibTeX XML Cite \textit{M. M. Santos}, J. Hyperbolic Differ. Equ. 14, No. 2, 349--358 (2017; Zbl 1378.35196) Full Text: DOI OpenURL
Palin, V. V.; Radkevich, E. V. On the nature of bifurcations of solutions of the Riemann problem for the truncated Euler system. (English. Russian original) Zbl 1329.35198 Differ. Equ. 51, No. 6, 755-766 (2015); translation from Differ. Uravn. 51, No. 6, 743-754 (2015). MSC: 35L65 35Q31 35B32 35L45 35L67 PDF BibTeX XML Cite \textit{V. V. Palin} and \textit{E. V. Radkevich}, Differ. Equ. 51, No. 6, 755--766 (2015; Zbl 1329.35198); translation from Differ. Uravn. 51, No. 6, 743--754 (2015) Full Text: DOI OpenURL
Sun, Meina Formation of delta standing wave for a scalar conservation law with a linear flux function involving discontinuous coefficients. (English) Zbl 1420.35161 J. Nonlinear Math. Phys. 20, No. 2, 229-244 (2013). MSC: 35L65 35L67 35B30 PDF BibTeX XML Cite \textit{M. Sun}, J. Nonlinear Math. Phys. 20, No. 2, 229--244 (2013; Zbl 1420.35161) Full Text: DOI OpenURL
Risebro, N. H.; Weber, F. A note on front tracking for the Keyfitz-Kranzer system. (English) Zbl 1316.35192 J. Math. Anal. Appl. 407, No. 2, 190-199 (2013). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L45 65M06 PDF BibTeX XML Cite \textit{N. H. Risebro} and \textit{F. Weber}, J. Math. Anal. Appl. 407, No. 2, 190--199 (2013; Zbl 1316.35192) Full Text: DOI OpenURL
Chen, Gui-Qiang; Xiang, Wei; Zhang, Yongqian Weakly nonlinear geometric optics for hyperbolic systems of conservation laws. (English) Zbl 1288.35340 Commun. Partial Differ. Equations 38, No. 11, 1936-1970 (2013). MSC: 35L65 35B40 35L45 35L60 35Q60 78A05 PDF BibTeX XML Cite \textit{G.-Q. Chen} et al., Commun. Partial Differ. Equations 38, No. 11, 1936--1970 (2013; Zbl 1288.35340) Full Text: DOI arXiv OpenURL
Shen, Chun; Sun, Meina Wave interactions and stability of the Riemann solutions for a scalar conservation law with a discontinuous flux function. (English) Zbl 1272.35151 Z. Angew. Math. Phys. 64, No. 4, 1025-1056 (2013). MSC: 35L65 35L67 35B30 76N10 35B40 35C07 PDF BibTeX XML Cite \textit{C. Shen} and \textit{M. Sun}, Z. Angew. Math. Phys. 64, No. 4, 1025--1056 (2013; Zbl 1272.35151) Full Text: DOI OpenURL
Liu, Yujin Stability of Riemann solutions for a nonstrictly hyperbolic system. (Chinese. English summary) Zbl 1265.35209 Commun. Appl. Math. Comput. 25, No. 1, 30-37 (2011). MSC: 35L60 35L65 35B35 PDF BibTeX XML Cite \textit{Y. Liu}, Commun. Appl. Math. Comput. 25, No. 1, 30--37 (2011; Zbl 1265.35209) OpenURL
Jia, Zhi; Yao, Aidi Solutions to a hyperbolic system of conservation laws on two boundaries. (English) Zbl 1212.35291 Appl. Math., Ser. B (Engl. Ed.) 24, No. 4, 495-502 (2009). MSC: 35L45 35L60 35L65 35L67 58J45 76L05 76N10 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{A. Yao}, Appl. Math., Ser. B (Engl. Ed.) 24, No. 4, 495--502 (2009; Zbl 1212.35291) Full Text: DOI OpenURL
Yao, Aidi; Sheng, Wancheng Interaction of elementary waves on a boundary for a hyperbolic system of conservation laws. (English) Zbl 1157.35065 Math. Methods Appl. Sci. 31, No. 11, 1369-1381 (2008). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L65 35L45 35L60 35L67 58J45 76L05 76N10 PDF BibTeX XML Cite \textit{A. Yao} and \textit{W. Sheng}, Math. Methods Appl. Sci. 31, No. 11, 1369--1381 (2008; Zbl 1157.35065) Full Text: DOI OpenURL
Kraft, M.; Lukáčová-Medvid’ová, M. Numerical aspects of parabolic regularization for resonant hyperbolic balance laws. (English) Zbl 1138.65073 Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 695-702 (2008). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{M. Kraft} and \textit{M. Lukáčová-Medvid'ová}, in: Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 695--702 (2008; Zbl 1138.65073) OpenURL
Chertock, Alina; Kurganov, Alexander; Rykov, Yurii A new sticky particle method for pressureless gas dynamics. (English) Zbl 1234.35145 SIAM J. Numer. Anal. 45, No. 6, 2408-2441 (2007). MSC: 35L65 35L67 65M50 82C80 PDF BibTeX XML Cite \textit{A. Chertock} et al., SIAM J. Numer. Anal. 45, No. 6, 2408--2441 (2007; Zbl 1234.35145) Full Text: DOI OpenURL
Ostrov, Daniel N. Nonuniqueness for the vanishing viscosity solution with fixed initial condition in a nonstrictly hyperbolic system of conservation laws. (English) Zbl 1151.35055 J. Math. Anal. Appl. 335, No. 2, 996-1012 (2007). Reviewer: Vasile Iftode (Bucureşti) MSC: 35L65 PDF BibTeX XML Cite \textit{D. N. Ostrov}, J. Math. Anal. Appl. 335, No. 2, 996--1012 (2007; Zbl 1151.35055) Full Text: DOI OpenURL
Gosse, Laurent; Mauser, Norbert J. Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. III: From ab initio models to WKB for Schrödinger-Poisson. (English) Zbl 1081.81041 J. Comput. Phys. 211, No. 1, 326-346 (2006). Reviewer: Eckhard Giere (Clausthal-Zellerfeld) MSC: 81Q20 81Q05 35L65 65M06 82D25 PDF BibTeX XML Cite \textit{L. Gosse} and \textit{N. J. Mauser}, J. Comput. Phys. 211, No. 1, 326--346 (2006; Zbl 1081.81041) Full Text: DOI OpenURL
Zhang, Peng; Liu, Ru-Xun Hyperbolic conservation laws with space-dependent fluxes: II. General study of numerical fluxes. (English) Zbl 1068.65109 J. Comput. Appl. Math. 176, No. 1, 105-129 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 65M06 35L65 65M12 PDF BibTeX XML Cite \textit{P. Zhang} and \textit{R.-X. Liu}, J. Comput. Appl. Math. 176, No. 1, 105--129 (2005; Zbl 1068.65109) Full Text: DOI OpenURL
Gosse, Laurent Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. II: Impurities, confinement and Bloch oscillations. (English) Zbl 1080.81010 J. Comput. Phys. 201, No. 1, 344-375 (2004). MSC: 81Q20 35L65 65M06 81Q05 82D25 PDF BibTeX XML Cite \textit{L. Gosse}, J. Comput. Phys. 201, No. 1, 344--375 (2004; Zbl 1080.81010) Full Text: DOI OpenURL
Li, Jiequan; Yang, Hanchun Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics. (English) Zbl 1019.76040 Q. Appl. Math. 59, No. 2, 315-342 (2001). MSC: 76N10 76L05 35Q35 35L65 PDF BibTeX XML Cite \textit{J. Li} and \textit{H. Yang}, Q. Appl. Math. 59, No. 2, 315--342 (2001; Zbl 1019.76040) Full Text: DOI OpenURL
Freistühler, Heinrich; Fries, Christian; Rohde, Christian Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. (English) Zbl 1002.35087 Fiedler, Bernold (ed.), Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer. 287-309 (2001). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L67 76L05 35B35 35Q35 35L65 76W05 35B32 PDF BibTeX XML Cite \textit{H. Freistühler} et al., in: Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer. 287--309 (2001; Zbl 1002.35087) OpenURL
Runborg, Olof Some new results in multiphase geometrical optics. (English) Zbl 0972.78001 M2AN, Math. Model. Numer. Anal. 34, No. 6, 1203-1231 (2000). MSC: 78A05 35L65 65M06 35Q60 PDF BibTeX XML Cite \textit{O. Runborg}, M2AN, Math. Model. Numer. Anal. 34, No. 6, 1203--1231 (2000; Zbl 0972.78001) Full Text: DOI EuDML Link OpenURL
Chen, Gui-Qiang Compactness methods and nonlinear hyperbolic conservation laws. (English) Zbl 0959.35115 Hsiao, Ling (ed.) et al., Some current topics on nonlinear conservation laws. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 15(1), 33-75 (2000). Reviewer: E.Feireisl (Praha) MSC: 35L65 35L60 PDF BibTeX XML Cite \textit{G.-Q. Chen}, AMS/IP Stud. Adv. Math. 15, 33--75 (2000; Zbl 0959.35115) OpenURL
Noelle, Sebastian Radially symmetric solutions for a class of hyperbolic systems of conservation laws. (English) Zbl 0879.35103 Z. Angew. Math. Phys. 48, No. 4, 676-679 (1997). Reviewer: M.Lukáčová (Brno) MSC: 35L65 35C05 PDF BibTeX XML Cite \textit{S. Noelle}, Z. Angew. Math. Phys. 48, No. 4, 676--679 (1997; Zbl 0879.35103) Full Text: DOI OpenURL
Furati, Khaled M. The solutions of the Riemann problem for a hyperbolic system modeling polymer flooding with hysteresis. (English) Zbl 0876.35074 J. Math. Anal. Appl. 206, No. 1, 205-233 (1997). Reviewer: S.Benzoni (Lyon) MSC: 35L65 76S05 PDF BibTeX XML Cite \textit{K. M. Furati}, J. Math. Anal. Appl. 206, No. 1, 205--233 (1997; Zbl 0876.35074) Full Text: DOI OpenURL
Marchesin, Dan; de Souza, Aparecido J. Fundamental solutions of a system of conservation laws with a singular characteristic field. (English) Zbl 0863.35061 Mat. Contemp. 8, 269-295 (1995). Reviewer: A.Doktor (Praha) MSC: 35L65 35L67 PDF BibTeX XML Cite \textit{D. Marchesin} and \textit{A. J. de Souza}, Mat. Contemp. 8, 269--295 (1995; Zbl 0863.35061) OpenURL
Lin, Longwei; Temple, Blake; Wang, Jinghua Suppression of oscillations in Godunov’s method for a resonant nonstrictly hyperbolic system. (English) Zbl 0845.65052 SIAM J. Numer. Anal. 32, No. 3, 841-864 (1995). Reviewer: M.Fritsche (Jena) MSC: 65M12 65M06 35L65 PDF BibTeX XML Cite \textit{L. Lin} et al., SIAM J. Numer. Anal. 32, No. 3, 841--864 (1995; Zbl 0845.65052) Full Text: DOI OpenURL
Lin, L.; Temple, J. B.; Wang, J. A comparison of convergence rates for Godunov’s method and Glimm’s method in resonant nonlinear systems of conservation laws. (English) Zbl 0830.35079 SIAM J. Numer. Anal. 32, No. 3, 824-840 (1995). MSC: 35L65 65M99 65N99 65N12 PDF BibTeX XML Cite \textit{L. Lin} et al., SIAM J. Numer. Anal. 32, No. 3, 824--840 (1995; Zbl 0830.35079) Full Text: DOI Link OpenURL
Saxton, R.; Vinod, V. Singularity formation in systems of non-strictly hyperbolic equations. (English) Zbl 0824.35072 Electron. J. Differ. Equ. 1995, No. 09, 15 p. (1995). MSC: 35L45 35L67 35L80 35L65 PDF BibTeX XML Full Text: EuDML EMIS OpenURL
Tveito, Aslak; Winther, Ragnar The solution of nonstrictly hyperbolic conservation laws may be hard to compute. (English) Zbl 0824.65092 SIAM J. Sci. Comput. 16, No. 2, 320-329 (1995). Reviewer: K.T.S.R.Iyengar (Bangalore) MSC: 65M06 65M12 35L65 PDF BibTeX XML Cite \textit{A. Tveito} and \textit{R. Winther}, SIAM J. Sci. Comput. 16, No. 2, 320--329 (1995; Zbl 0824.65092) Full Text: DOI OpenURL
Li, Ta-Tsien; Serre, D.; Zhang, Hao The generalized Riemann problem for the motion of elastic strings. (English) Zbl 0794.35101 SIAM J. Math. Anal. 23, No. 5, 1189-1203 (1992). MSC: 35L65 35L67 74B20 PDF BibTeX XML Cite \textit{T.-T. Li} et al., SIAM J. Math. Anal. 23, No. 5, 1189--1203 (1992; Zbl 0794.35101) Full Text: DOI OpenURL
Wang, Guangfa; Zhu, Changjiang; Zhao, Huijiang; Wang, Zheng Viscosity method for a \(2\times 2\) hyperbolic quadratic conservation laws. (English) Zbl 0934.35092 J. Cent. China Norm. Univ., Nat. Sci. 26, No. 2, 131-137 (1992). MSC: 35L65 35L45 35B50 PDF BibTeX XML Cite \textit{G. Wang} et al., J. Cent. China Norm. Univ., Nat. Sci. 26, No. 2, 131--137 (1992; Zbl 0934.35092) OpenURL
Liu, Hailiang The interactions of shock waves of nonstrictly hyperbolic systems. (English) Zbl 0789.35107 Acta Math. Sci. 12, No. 3, 312-336 (1992). MSC: 35L67 35L60 35L65 35L40 PDF BibTeX XML Cite \textit{H. Liu}, Acta Math. Sci. 12, No. 3, 312--336 (1992; Zbl 0789.35107) OpenURL
Risebro, Nils Henrik; Tveito, Aslak Front tracking applied to a nonstrictly hyperbolic system of conservation laws. (English) Zbl 0736.65075 SIAM J. Sci. Stat. Comput. 12, No. 6, 1401-1419 (1991). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65M70 35J65 PDF BibTeX XML Cite \textit{N. H. Risebro} and \textit{A. Tveito}, SIAM J. Sci. Stat. Comput. 12, No. 6, 1401--1419 (1991; Zbl 0736.65075) Full Text: DOI OpenURL
Tveito, Aslak; Winther, Ragnar A well-posed system of hyperbolic conservation laws. (English) Zbl 0782.65121 Hyperbolic problems. Theory, numerical methods and applications. Vol. II, Proc. Conf., Uppsala/Sweden 1990, 888-899 (1991). MSC: 65M12 35L65 PDF BibTeX XML Cite \textit{A. Tveito} and \textit{R. Winther}, in: Third international conference on hyperbolic problems. Theory, numerical methods and applications. Proceedings of the conference dedicated to Professor Heinz-Otto Kreiss on his 60th birthday, held in Uppsala, Sweden, June 11-15, 1990. Vol. II. Lund: Studentlitteratur; Bromley: Chartwell-Bratt Ltd.. 888--899 (1991; Zbl 0782.65121) OpenURL
Kan, Pui Tak Nonstrictly hyperbolic conservation laws. (English) Zbl 0735.35093 Appl. Math. Lett. 4, No. 4, 83-87 (1991). MSC: 35L65 47J25 PDF BibTeX XML Cite \textit{P. T. Kan}, Appl. Math. Lett. 4, No. 4, 83--87 (1991; Zbl 0735.35093) Full Text: DOI OpenURL
Liu, Tai-Ping; Xin, Zhouping Overcompressive shock waves. (English) Zbl 0731.35063 Nonlinear evolution equations that change type, Proc. Workshop IMA Nonlinear Waves, Minneapolis/MN (USA) 1988-89, IMA Vol. Math. Appl. 27, 139-145 (1990). Reviewer: Tai-Ping Liu MSC: 35L65 35L67 PDF BibTeX XML OpenURL
Johansen, Thormod; Winther, Ragnar The Riemann problem for multicomponent polymer flooding. (English) Zbl 0686.35077 SIAM J. Math. Anal. 20, No. 4, 908-929 (1989). Reviewer: V.Rasvan MSC: 35L65 76S05 35L67 PDF BibTeX XML Cite \textit{T. Johansen} and \textit{R. Winther}, SIAM J. Math. Anal. 20, No. 4, 908--929 (1989; Zbl 0686.35077) Full Text: DOI OpenURL
Barkve, Tor The Riemann problem for a nonstrictly hyperbolic system modeling nonisothermal, two-phase flow in a porous medium. (English) Zbl 0686.35076 SIAM J. Appl. Math. 49, No. 3, 784-798 (1989). Reviewer: V.Rasvan MSC: 35L65 35L80 35D05 65M99 65N99 76S05 76T99 35M99 PDF BibTeX XML Cite \textit{T. Barkve}, SIAM J. Appl. Math. 49, No. 3, 784--798 (1989; Zbl 0686.35076) Full Text: DOI OpenURL
Johansen, Thormod; Tveito, Aslak; Winther, Ragnar A Riemann solver for a two-phase multicomponent process. (English) Zbl 0672.76101 SIAM J. Sci. Stat. Comput. 10, No. 5, 846-879 (1989). MSC: 76S05 35L65 PDF BibTeX XML Cite \textit{T. Johansen} et al., SIAM J. Sci. Stat. Comput. 10, No. 5, 846--879 (1989; Zbl 0672.76101) Full Text: DOI OpenURL
Johansen, Thormod; Winther, Ragnar The solution of the Riemann problem for a hyperbolic system of conservation laws modeling polymer flooding. (English) Zbl 0658.35061 SIAM J. Math. Anal. 19, No. 3, 541-566 (1988). Reviewer: T.Johansen MSC: 35L65 76S05 35B40 35A05 35A35 PDF BibTeX XML Cite \textit{T. Johansen} and \textit{R. Winther}, SIAM J. Math. Anal. 19, No. 3, 541--566 (1988; Zbl 0658.35061) Full Text: DOI OpenURL
Keyfitz, Barbara Lee Some elementary connections among nonstrictly hyperbolic conservation laws. (English) Zbl 0644.35066 Nonstrictly hyperbolic conservation laws, Proc. AMS Spec. Sess., Anaheim/Calif. 1985, Contemp. Math. 60, 67-77 (1987). Reviewer: A.Doktor MSC: 35L65 35L67 PDF BibTeX XML OpenURL
Shearer, Michael; Schaeffer, David G. Recent developments in nonstrictly hyperbolic conservation laws. (English) Zbl 0625.76101 Applied mathematics and computing, Trans. 4th Army Conf., Ithaca/N. Y. 1986, ARO Rep. 87-1, 43-52 (1987). MSC: 76S05 76T99 35L65 76W05 76M99 PDF BibTeX XML OpenURL
Liu, Taiping; Wang, Chinghua On a nonstrictly hyperbolic system of conservation laws. (English) Zbl 0576.35075 J. Differ. Equations 57, 1-14 (1985). Reviewer: Sh.Chen MSC: 35L65 35L45 74J20 35A05 35B40 PDF BibTeX XML Cite \textit{T. Liu} and \textit{C. Wang}, J. Differ. Equations 57, 1--14 (1985; Zbl 0576.35075) Full Text: DOI OpenURL